호남수학학술지 (Honam Mathematical Journal)

  • 제27권2호
  • /
  • Pages.273-285
  • /
  • 2005
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURES ON SPACE-TIMES

  • JUNG, YOON-TAE (Department of Mathematics Chosun University) ;
  • JEONG, BYOUNG-SOON (Department of Mathematics Chosun University) ;
  • CHOI, EUN-HEE (Department of Mathematics Chosun University)
  • 투고 : 2005.04.28
  • 발행 : 2005.06.25
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초록

In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct Lorentzian metrics on $M=[a,\;b){\times}_f\;N$ with specific scalar curvatures.

키워드

과제정보

연구 과제 주관 기관 : KOSEF

참고문헌

  1. Pure and Applied Mathematics v.67 Global Lorentzian Geometry Beem, J.K.;Ehrlich, P.E.
  2. Warped product manifolds in relativity;Selected Studies Beem, J.K.;Ehrlich, P.E.;Powell, Th.G.;Rassias, Th.M.(ed.);Rassias, G.M.(ed.)
  3. Trans. A.M.S. v.316 Negative scalar curvature metrics on non-compact manifolds Bland, J.;Kalka, M.
  4. Tsukuba J. Math. v.20 no.1 Constant Scalar Curvaturers on Warped Product Manifolds Ehrlich, P.E.;Jung, Yoon-Tae;Kim, Seon-Bu
  5. J.M.A.A. v.241 Partial Differential Equations on Semi-Riemannian Manifolds Jung, Y.T.
  6. Bull. Korean Math. Soc. v.37 Nonlinear Partial Differential Equations on Semi-Riemannian Manifolds Jung, Y.T.;Kim, Y.J.
  7. J.Diff.Geo. v.10 Scalar curvature and conformal deformation of Riemannian structure Kazdan, J.L.;Warner, F.W.
  8. Ann. of Math. v.101 Existence and conformal deformation of metrics with precribed Guassian and scalar curvature Kazdan, J.L.;Warner, F.W.
  9. Ann. of Math. v.99 Curvature functions for compact 2 - manifolds Kazdan, J.L.;Warner, F.W.
  10. Comm. in P.D.E. v.20 Conformal scalar curvature equations on complete manifolds Leung, M.C.
  11. Bulletin des Sciences Mathematiques v.122 Conformal deformation of warped products and scalar curvature functions on open manifolds Leung, M.C.
  12. Lorentzian manifolds with non-smooth metrics and warped products Powell, T.G.